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*Please note that Lecture 4 is unavailable in a higher quality format.
Instructor/speaker: Prof. Gilbert Strang
View the complete course at: http://ocw.mit.edu/18-06S05
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
This movie is part of the collection: MIT OpenCourseWare
Producer: MIT OpenCourseWare
Audio/Visual: sound, color
Keywords: systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra, determinants, eigenvalues, similarity, least-squares approximations, stability of differential equations, networks, Fourier transforms, Markov processes
Creative Commons license: Attribution-Noncommercial-Share Alike 3.0 United States
| Movie Files | MPEG4 | Ogg Video |
| Lecture 1: The geometry of linear equations |
88.9 MB
|
172.7 MB
|
| Lecture 2: Elimination with matrices |
101.7 MB
|
193.8 MB
|
| Lecture 3: Multiplication and inverse matrices |
104.7 MB
|
200.2 MB
|
| Lecture 4: Factorization into A = LU |
104.0 MB
|
201.5 MB
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| Lecture 5: Transposes, permutations, spaces R^n |
101.8 MB
|
194.0 MB
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| Lecture 6: Column space and nullspace |
102.8 MB
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197.9 MB
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| Lecture 7: Solving Ax = 0: pivot variables, special solutions |
93.1 MB
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179.1 MB
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| Lecture 8: Solving Ax = b: row reduced form R |
101.2 MB
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190.9 MB
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| Lecture 9: Independence, basis, and dimension |
107.9 MB
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199.8 MB
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| Lecture 10: The four fundamental subspaces |
106.1 MB
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190.6 MB
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| Lecture 11: Matrix spaces; rank 1; small world graphs |
102.6 MB
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193.4 MB
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| Lecture 12: Graphs, networks, incidence matrices |
102.2 MB
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197.5 MB
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| Lecture 13: Quiz 1 review |
101.3 MB
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188.8 MB
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| Lecture 14: Orthogonal vectors and subspaces |
105.5 MB
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202.8 MB
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| Lecture 15: Projections onto subspaces |
103.1 MB
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187.3 MB
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| Lecture 16: Projection matrices and least squares |
102.9 MB
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195.7 MB
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| Lecture 17: Orthogonal matrices and Gram-Schmidt |
108.1 MB
|
203.4 MB
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| Lecture 18: Properties of determinants |
104.1 MB
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198.1 MB
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| Lecture 19: Determinant formulas and cofactors |
113.5 MB
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219.3 MB
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| Lecture 20: Cramer's rule, inverse matrix, and volume |
110.1 MB
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211.5 MB
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| Lecture 21: Eigenvalues and eigenvectors |
115.0 MB
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210.2 MB
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| Lecture 22: Diagonalization and powers of A |
110.2 MB
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210.1 MB
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| Lecture 23: Differential equations and exp(At) |
114.0 MB
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219.7 MB
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| Lecture 24: Markov matrices; fourier series |
114.3 MB
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220.5 MB
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| Lecture 24b: Quiz 2 review |
107.9 MB
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202.5 MB
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| Lecture 25: Symmetric matrices and positive definiteness |
98.0 MB
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183.3 MB
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| Lecture 26: Complex matrices; fast fourier transform |
102.2 MB
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185.6 MB
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| Lecture 27: Positive definite matrices and minima |
108.3 MB
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205.5 MB
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| Lecture 28: Similar matrices and jordan form |
102.6 MB
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189.1 MB
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| Lecture 29: Singular value decomposition |
92.8 MB
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171.6 MB
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| Lecture 30: Linear transformations and their matrices |
105.7 MB
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200.4 MB
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| Lecture 31: Change of basis; image compression |
112.1 MB
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217.4 MB
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| Lecture 32: Quiz 3 review |
100.7 MB
|
193.2 MB
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| Lecture 33: Left and right inverses; pseudoinverse |
90.1 MB
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170.8 MB
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| Lecture 34: Final course review |
92.9 MB
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173.8 MB
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| Image Files | Animated GIF | Thumbnail |
| Lecture 1: The geometry of linear equations |
443.4 KB
|
5.8 KB
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| Lecture 2: Elimination with matrices |
441.7 KB
|
6.5 KB
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| Lecture 3: Multiplication and inverse matrices |
429.2 KB
|
5.7 KB
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| Lecture 4: Factorization into A = LU |
436.9 KB
|
5.5 KB
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| Lecture 5: Transposes, permutations, spaces R^n |
428.9 KB
|
5.5 KB
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| Lecture 6: Column space and nullspace |
446.3 KB
|
6.2 KB
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| Lecture 7: Solving Ax = 0: pivot variables, special solutions |
437.2 KB
|
5.0 KB
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| Lecture 8: Solving Ax = b: row reduced form R |
440.1 KB
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5.1 KB
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| Lecture 9: Independence, basis, and dimension |
437.6 KB
|
5.9 KB
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| Lecture 10: The four fundamental subspaces |
439.5 KB
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5.1 KB
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| Lecture 11: Matrix spaces; rank 1; small world graphs |
429.3 KB
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5.5 KB
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| Lecture 12: Graphs, networks, incidence matrices |
436.7 KB
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5.2 KB
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| Lecture 13: Quiz 1 review |
416.7 KB
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4.9 KB
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| Lecture 14: Orthogonal vectors and subspaces |
437.0 KB
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7.6 KB
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| Lecture 15: Projections onto subspaces |
423.9 KB
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5.9 KB
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| Lecture 16: Projection matrices and least squares |
439.7 KB
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6.1 KB
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| Lecture 17: Orthogonal matrices and Gram-Schmidt |
437.8 KB
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5.5 KB
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| Lecture 18: Properties of determinants |
423.9 KB
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5.2 KB
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| Lecture 19: Determinant formulas and cofactors |
452.3 KB
|
7.3 KB
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| Lecture 20: Cramer's rule, inverse matrix, and volume |
440.5 KB
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6.4 KB
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| Lecture 21: Eigenvalues and eigenvectors |
433.0 KB
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6.3 KB
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| Lecture 22: Diagonalization and powers of A |
440.1 KB
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6.3 KB
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| Lecture 23: Differential equations and exp(At) |
429.1 KB
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5.7 KB
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| Lecture 24: Markov matrices; fourier series |
436.9 KB
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6.5 KB
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| Lecture 24b: Quiz 2 review |
432.1 KB
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4.9 KB
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| Lecture 25: Symmetric matrices and positive definiteness |
422.9 KB
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5.6 KB
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| Lecture 26: Complex matrices; fast fourier transform |
422.6 KB
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5.6 KB
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| Lecture 27: Positive definite matrices and minima |
441.5 KB
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6.6 KB
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| Lecture 28: Similar matrices and jordan form |
446.6 KB
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5.8 KB
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| Lecture 29: Singular value decomposition |
408.7 KB
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6.7 KB
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| Lecture 30: Linear transformations and their matrices |
433.9 KB
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6.0 KB
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| Lecture 31: Change of basis; image compression |
438.2 KB
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6.5 KB
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| Lecture 32: Quiz 3 review |
436.1 KB
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7.3 KB
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| Lecture 33: Left and right inverses; pseudoinverse |
448.7 KB
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6.9 KB
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| Lecture 34: Final course review |
433.4 KB
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6.4 KB
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| Information | Format | Size |
| MIT18.06S05_MP4_files.xml | Metadata | [file] |
| MIT18.06S05_MP4_meta.xml | Metadata | 1.4 KB |
| MIT18.06S05_MP4_reviews.xml | Metadata | 1.3 KB |




Reviewer:
sandipb -



Subject:
Lower quality than youtube
I downloaded both the mp4 versions here and compared it with the mp4 version downloadable from youtube for the same courses. The quality in youtube seemed markedly better. I agree with the other reviewer though - the smaller mp4 files are of much better quality than the larger one here. The youtube mp4s are only slightly larger than the _512.mp4 files here.
Reviewer:
daflory -




Subject:
Technical comments
Be sure to download the MPEG4 version if possible.
Both the OGV and the MP4 (AVC) look terrible (blocky and jittery), as if they were re-encoded from a bad source.
The MPEG4 version is not only the smallest, but is far easier to watch. The writing on the blackboard is easy to read.